Answer: 0.4087 as a fraction is 4087/10000
Converting the decimal number 0.4087 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.
The decimal 0.4087 can be broken down as:
0.4087 = 0 + 0.4087
Here, 0 is the whole number part, and 0.4087 is the decimal part.
Focus on converting the decimal part, 0.4087, to a fraction. To do this, consider the place value of the decimal:
0.4087 =
4087
10000
Now, simplify the fraction 4087/10000. To do this, find the greatest common divisor (GCD) of 4087 and 10000.
Now, divide both the numerator and the denominator by their GCD:
4087 ÷ 1
10000 ÷ 1
=
4087
10000
So, 0.4087 as a fraction is 4087/10000
Now that you have 0.4087 = 0 + 0.4087, express the entire number as a mixed fraction:
0.4087
= 0 +
4087
10000
=
0
10000
+
4087
10000
=
4087
10000
Here, 0/10000 is the whole number 0, and 4087/10000 is the fractional part.
Answer: 0.4087 = 4087/10000
Converting 0.4087 to a fraction results in 4087/10000. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.